Question

Suppose X is a random variable with expected value 260 and standard deviation 120, and Y...

Suppose X is a random variable with expected value 260 and standard deviation 120, and Y is a random variable with expected value 170 and standard deviation 70. Compute each of the means and standard deviations indicated below (round off your answers to two decimal places, if necessary).

E(1.7X)=
SD(1.7X)=
SD(X+Y)=
E(X−Y)=
SD(X−Y)=



Now let Y1 and Y2 be two instances of the random variable YY and compute the following (again, rounding to two decimal places, if necessary).

E(Y1+Y2)=
SD(Y1+Y2)=
E(Y1−Y2)=
SD(Y1−Y2)=

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Given independent random variables with means and standard deviations as​ shown, find the mean and standard...
Given independent random variables with means and standard deviations as​ shown, find the mean and standard deviation of each of these​ variables: Mean SD ​a) 4X                  ​b) 4Y+3 ​c) 2X+5Y X 70 14 ​d) 5X−4Y    ​e) X1+X2 Y 10 5 ​a) Find the mean and standard deviation for the random variable 4X. ​E(4​X)=_____________ ​SD(4​X)=_______________ ​(Round to two decimal places as​ needed.) ​b) Find the mean and standard deviation for the random variable 4​Y+3. ​E(4​Y+3​)= ________________ ​SD(4​Y+3​)= _____________________ ​(Round to...
Suppose that X is a random variable with mean 21 and standard deviation 4 . Also...
Suppose that X is a random variable with mean 21 and standard deviation 4 . Also suppose that Y is a random variable with mean 42 and standard deviation 8 . Find the mean of the random variable Z for each of the following cases (Give your answer to three decimal places.) a) Z = 3 + 10X b) Z = 3X − 10 c) Z = X + Y d) Z = X − Y e) Z = −4X...
Suppose X is a Normal random variable with with expected value 31 and standard deviation 3.11....
Suppose X is a Normal random variable with with expected value 31 and standard deviation 3.11. We take a random sample of size n from the distribution of X. Let X be the sample mean. Use R to determine the following: a)  What is the standard deviation of X when n = 19? b) What is the probability that X1 + X2 + ... +X20 > 630? PLEASE ANSWER IN R SCRIPT
Suppose X is a random variable with with expected value -0.01 and standard deviation σ =...
Suppose X is a random variable with with expected value -0.01 and standard deviation σ = 0.04. Let X1, X2, ... ,X81 be a random sample of 81 observations from the distribution of X. Let X be the sample mean. Use R to determine the following: Copy your R script b) What is the approximate probability that X1 + X2 + ... +X81 >−0.02?
The expected values, variances and standard Deviatiations for two random variables X and Y are given...
The expected values, variances and standard Deviatiations for two random variables X and Y are given in the following table Variable expected value variance standard deviation X 20 9 3 Y 35 25 5 Find the expected value and standard deviation of the following combinations of the variable X and Y. Round to nearest whole number. E(X+10) =  , StDev(X+10) = E(2X) =  , StDev(2X) = E(3X-2) =  , StDev(3X-2) = E(3X +4Y) =  , StDev(3X+4Y) = E(X-2Y) =  , StDev(X-2Y) =
A random variable X is exponentially distributed with an expected value of 33. a-1. What is...
A random variable X is exponentially distributed with an expected value of 33. a-1. What is the rate parameter λ? (Round your answer to 3 decimal places.) a-2. What is the standard deviation of X? b. Compute P(23 ≤ X ≤ 43). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) c. Compute P(20 ≤ X ≤ 46). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal...
A random variable X is exponentially distributed with an expected value of 57. a-1. What is...
A random variable X is exponentially distributed with an expected value of 57. a-1. What is the rate parameter λ? (Round your answer to 3 decimal places.) a-2. What is the standard deviation of X? b. Compute P(54 ≤ X ≤ 60). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) c. Compute P(45 ≤ X ≤ 69). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal...
From the probability distribution given below, find the mean, variance, standard deviation and expected value of...
From the probability distribution given below, find the mean, variance, standard deviation and expected value of the random variable, X. Round your values for variance and standard deviation to two decimal places (if necessary). X 27 32 54 63 78 P(X) 5/18 1/4 1/12 2/9 1/6
Question 7) Suppose X is a Normal random variable with with expected value 31 and standard...
Question 7) Suppose X is a Normal random variable with with expected value 31 and standard deviation 3.11. We take a random sample of size n from the distribution of X. Let X be the sample mean. Use R to determine the following: a) Find the probability P(X>32.1): b) Find the probability P(X >32.1) when n = 4: c) Find the probability P(X >32.1) when n = 25: d) What is the probability P(31.8 <X <32.5) when n = 25?...
Random variable X has mean 16 and standard deviation 9, random variable Y has mean 12...
Random variable X has mean 16 and standard deviation 9, random variable Y has mean 12 and standard deviation 7, the correlation between X and Y is 0.3. How can we find the correlation between 4X - 5Y and 3Y - 1.